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recycle some of our old names for gauge fields. We therefore relabel C ! a. We couple We this can to now a new play background similar games gauge to field derive which dualities we call A. which After map gauging bosons the to right-hand bosons, and We now gauge the background field C . For notational reasons, it … See more
Throughout this paper, we will work with three types of fields: complex component Dirac spinors and Abelian gauge fields. The latter fall into background gauge … See more
With these building blocks in place, we can now describe the simple dual from which all else follows. We consider a scalar coupled to a dynamical gauge field with … See more
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WEBWe express a system of lattice bosons in terms of vortex excitations by introducing an additional gauge eld. We then take the continuum limit to nd a duality between ˚ 4 …
Phys. Rev. X 7, 041016 (2017) - Symmetry and Duality in …
WEBOct 23, 2017 · Recent work on a family of boson-fermion mappings has emphasized the interplay of symmetry and duality: Phases related by a particle-vortex duality of …
- Author: David F. Mross, Jason Alicea, Olexei I. Motrunich
- Publish Year: 2017
WEBThis basic charge-vortex duality of bosons underlies our understanding of many novel correlated boson phenomena. Examples: 1. Fractional quantum Hall heirarchy (D.-H. …
WEB• Particle-Vortex duality: electric charge vortex (magnetic charge) • Mappings between phases of matter, most often between different theories • Conjectured web of dualities …
WEBThe simplest such example is the boson-vortex duality that maps a boson such as a Cooper pair to a dual vortex degree of freedom [1{3], and plays a key role in our …
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WEBUtilizing elasticity-and Lifshitz-gauge theory dualities, we derive dual formulations of the vortex lattice in terms of a traceless symmetric scalar-charge theory and demonstrate …
[1803.10934] Effective field theory of a vortex lattice in a bosonic ...
WEBMar 29, 2018 · Using boson-vortex duality, we formulate a low-energy effective theory of a two-dimensional vortex lattice in a bosonic Galilean-invariant compressible superfluid. …
WEBA microscopic model realizing the weak super uid phase is constructed using an array of strongly coupled Luttinger liquid wires, and the connection to the eld theory is …
Exact Boson-Fermion Duality on a 3D Euclidean Lattice
WEBIn this letter, we study another particle-vortex duality which transmutes bosonic and fermionic statistics. We demonstrate an exact mapping of partition functions of a strongly …
WEBvortex duality in two-dimensional (2d) boson systems. A formal duality transformation which takes one from a particle to a vortex representation of a 2d boson model is …
Fractionalized conductivity and emergent self-duality near
WEBSep 9, 2021 · The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, …
WEBThe framework of boson-vortex duality has been used to scrutinise the above model, showing that the condensation of one of the two vortex flavours corresponds to the …
Quantum correlations in the frustrated XY model on the …
WEBSep 25, 2023 · The framework of boson-vortex duality has been used to scrutinise the above model, showing that the condensation of one of the two vortex flavours …
Boson-vortex duality in compressible spin-orbit coupled BECs
WEBMar 2, 2024 · To answer this question, we establish a boson-vortex duality that allows us to map the superfluid dynamics onto non-linear electrodynamics, i.e. a U (1) 𝑈 1 U(1) …
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WEB1987: Dudley Rutherford, a young pastor from the Midwest, moved to Southern California to become the senior pastor of Hillcrest Christian Church in Granada Hills. Over the next …
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WEBduality that maps a boson such as a Cooper pair to a dual vortex degree of freedom [1{3], and plays a key role in our understanding of super uid-insulator quantum phase transitions.
WEBAbstract. It was known that by a duality transformation, interacting bosons at filling factor f = p/q hopping on a lattice can be mapped to interacting vortices hopping on the dual …
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WEBDr. Bawa has specialty training and experience with robotic-assisted hip and knee surgery. He has published extensively and is a member of the American Association of Hip and …
WEBWe proceed with the boson-vortex duality according to the standard procedure [35{38]. First, we write the action of the Hamiltonian in Eq. (2) after representing the bosons by …
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WEB805.537.0150. Nathan Borecki Assistant Vice President. 805.537.0107. Better solutions are closer than you think. Reach out today to start a conversation about how we can work …
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